Previous Conferences & Workshops

Given a set $E$ of Hausdorff dimension $s > d/2$ in $\mathbb{R}^d$ , Falconer conjectured that its distance set $\Delta(E)=\{ |x-y|: x, y \in E\}$ should have positive Lebesgue measure. When $d$ is even, we show that $\dim_H E>d/2+1/4$ implies $|...

(joint work with Assaf Naor) A key problem in metric geometry asks: given metric spaces $X$ and $Y$, how well does $X$ embed in $Y$? In this talk, we will consider this problem for the case of the Heisenberg group and explain its connections to...

We prove new lower bounds on the well known Gap-Hamming problem in communication complexity. Our main technical result is an anti-concentration bound for the inner product of two independent random vectors. We show that if A, B are arbitrary subsets...

Simon Allais (ENS Lyon)

Title: Generating functions in Hamiltonian dynamics and symplectic-contact rigidity

Abstract: Generating functions of Hamiltonian diffeomorphisms are maps that can be seen as finite dimensional versions of the action...

We will give an explicit construction and description of a supercuspidal local Langlands correspondence for any $p$-adic group $G$ that splits over a tame extension, provided $p$ does not divide the order of the Weyl group. This construction matches...

In 1979, Kaufman constructed a remarkable surjective Lipschitz map from a cube to a square whose derivative has rank $1$ almost everywhere. In this talk, we will present some higher-dimensional generalizations of Kaufman's construction that lead to...

This is the third talk in a series of three talks on the derived Satake equivalence. I will give an overview of the article of Bezrukavnikov and Finkelberg which explains how the equivariant derived category of the affine Grassmannian can be...

We show that if $G=\langle S | E\rangle$ is a discrete group with Property (T) then $E$, as a system of equations over $S$, is not stable (under a mild condition). That is, $E$ has approximate solutions in symmetric groups $Sym(n)$, $n \geq 1$, that...